please solve this?

Question

in detroit the tempature is 69degrees F and is rising at a rate of 2 degrees F per hour. In atlanta the tempatureis 84 degrees F and is falling at a rate of 3 degrees F per hour. If the temptaure continues to change at the same time rates, how long will it be before the tempatures are the same?

1. write a verbal model for this problem
2. write an equation for this model.
3 solve the equation and answer the question.

Answer 1

1.temp change in detroit=+2*/hr.
temp change in atlanta=-3*/hr
2.detroit temp=69+2h
atlanta temperature=84-3h
3.equating
69+2h=84-3h
transposing
5h=15
so h=3
so in three houre the temperatures will equalise

Answer 2

I'll only help with part 2, the rest you should do.

Detroit = D= 69 degrees + 2 degrees/hour x H hours
Atlanta = A = 84 degrees -3 degrees/hour x H hours

solve for when A = D
69 +2H = 84 - 3H

Answer 3

Since Detroit temperature 69 degree is rising at a rate of 2 degrees Fahrenheit per hour

Since Atlanta temperature84 degrees is decreasing at a rate of 3 degrees per hour

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Detroit increase of Temperature

69 + 2 = 71

71 + 2 = 73

73 + 2 = 75

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Atlanta Decrease of Temperature

84 - 3= 81

81 - 3 = 78

81 - 3 = 75

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Detroit and Atlanta will have the same Temperature in three (3) hours.

Answer 4

x² = x+6 x² - x - 6 = 0 (x - 3)(x + 2) = 0 So x = 3 or - 2 x² + 2x = 0 x(x + 2) = 0 So x = 0 or - 2 60 = x² - 4x x²- 4x - 60 = 0 (x - 10)(x + 6) = 0 So x = 10 or -6 4x = x² - 40 5 x² - 4x - 40 5 = 0 (x - 9)(x + 5) = 0 So x = 9 or -5 -6x = x² + 9 x² + 6x + 9 = 0 (x + 3)(x + 3) = 0 (x + 3)² = 0 So x = -3 -15=x² + 8x x² + 8x +15 = 0 (x + 5)(x + 3) = 0 So x = -5 or -3 -9x = x² + 14 x² + 9x + 14 = 0 (x + 7)(x + 2) = 0 So x = -7 or - 2 wish that helps. =D

Answer 5

three hours. 69 +2+2+2= 75
84-3-3-3=75

Answer 6

after 3 hours both the temperatures will be 75degreeF.

Answer 7

i don't know.